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211371616192 = 26113118735171
BaseRepresentation
bin1100010011011010111…
…0101110011111000000
3202012120211222122022111
43010312232232133000
511430342113204232
6241034111145104
721161662043662
oct3046656563700
9665524878274
10211371616192
1181707848810
1234b6bb15194
1316c1722a959
14a332488532
15577196c047
hex3136bae7c0

211371616192 has 112 divisors (see below), whose sum is σ = 472675451904. Its totient is φ = 92911104000.

The previous prime is 211371616129. The next prime is 211371616213. The reversal of 211371616192 is 291616173112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40873767 + ... + 40878937.

Almost surely, 2211371616192 is an apocalyptic number.

211371616192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211371616192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236337725952).

211371616192 is an abundant number, since it is smaller than the sum of its proper divisors (261303835712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211371616192 is a wasteful number, since it uses less digits than its factorization.

211371616192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7088 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The spelling of 211371616192 in words is "two hundred eleven billion, three hundred seventy-one million, six hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1873 1984 2728 3746 5171 5456 7492 10342 10912 14984 20603 20684 21824 29968 41206 41368 56881 58063 59936 82412 82736 113762 116126 119872 160301 164824 165472 227524 232252 320602 329648 330944 455048 464504 638693 641204 659296 910096 929008 1277386 1282408 1318592 1763311 1820192 1858016 2554772 2564816 3526622 3640384 3716032 5109544 5129632 7053244 9685283 10219088 10259264 14106488 19370566 20438176 28212976 38741132 40876352 56425952 77482264 106538113 112851904 154964528 213076226 300243773 309929056 426152452 600487546 619858112 852304904 1200975092 1704609808 2401950184 3302681503 3409219616 4803900368 6605363006 6818439232 9607800736 13210726012 19215601472 26421452024 52842904048 105685808096 211371616192